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›› 2014, Vol. 31 ›› Issue (1): 1-4.DOI: 10.7523/j.issn.2095-6134.2014.01.001

• Research Articles •     Next Articles

Some remarks on the linearly dependent problem and linear triangularizability

SUN Pengju, YAN Dan, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2013-01-25 Revised:2013-05-08 Online:2014-01-15
  • Supported by:

    Supported by National Natural Science Foundation of China (11071247)

Abstract:

In this paper, we first show that the homogeneous parts of the quadratic-linear Keller maps are linearly dependent under certain conditions. Then we give an equivalent statement about the linearly triangularizable polynomials. Finally, we show that a polynomial F is linearly triangularizable if (J(F-X))2=0 and n≤3.

Key words: dependent problem, linear triangularizability, Jacobian conjecture

CLC Number: